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Finding the Fourth Proportional to 13,187.57, 19,754.85 and 6,157.88

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Solution

The fourth proportional to 13,187.57, 19,754.85 and 6,157.88 is: 9,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.57 : 19,754.85 = 6,157.88 : x
  2. Step 2: Convert to fraction form
    13,187.57/19,754.85 = 6,157.88/x
  3. Step 3: Cross multiply
    13,187.57x = 19,754.85 × 6,157.88
  4. Step 4: Simplify right side
    13,187.57x = 121,648,045.11
  5. Step 5: Solve for x
    x = 121,648,045.11/13,187.57
  6. Step 6: Final answer
    x = 9,224.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.